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Finding the Fourth Proportional to 285,505.89, 394,021.98 and 158,193.33

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Solution

The fourth proportional to 285,505.89, 394,021.98 and 158,193.33 is: 218,320.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,505.89 : 394,021.98 = 158,193.33 : x
  2. Step 2: Convert to fraction form
    285,505.89/394,021.98 = 158,193.33/x
  3. Step 3: Cross multiply
    285,505.89x = 394,021.98 × 158,193.33
  4. Step 4: Simplify right side
    285,505.89x = 62,331,649,109.39
  5. Step 5: Solve for x
    x = 62,331,649,109.39/285,505.89
  6. Step 6: Final answer
    x = 218,320.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.